- Title
- Very weak solutions to degenerate parabolic double-phase systems
- KIAS Author
- Kim, Wontae
- Journal
- CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2026
- Archive
- https://arxiv.org/pdf/2512.15255
- Abstract
- We prove a local self-improving property for the gradient of very weak solutions to degenerate parabolic double-phase systems. The result is based on a reverse H & ouml;lder inequality with constants that are independent of the solution. Delicate methods are required to avoid a self-referential argument. In particular, we develop a new phase analysis method.
